Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bh |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
400249321684992 = 218 · 312 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151212,22611760] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:6656:1] |
Generators of the group modulo torsion |
j |
2000852317801/2094417 |
j-invariant |
L |
5.9668164923601 |
L(r)(E,1)/r! |
Ω |
0.53058349863969 |
Real period |
R |
2.8114408311867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dj1 1989d1 42432bi1 |
Quadratic twists by: -4 8 -3 |